I like "The Way" but don't think I know the Fastball song you mentioned. Either way, the idea of a 15 year old kid getting stoned for the first time and deciding that *Fastball* should be the soundtrack is pretty hilarious.
There's a lot of albums I specifically remember listening to for the first time because they made such a huge impression even on the first listen and/or I was in a unique place or situation while listening. But I don't think that's really what you're asking because I wouldn't really call any of them "notable events". But with those albums, I often flash back to what I was doing the first time I heard them whenever I put them on.
The first thing that popped into my head was actually Nirvana's "In Utero". Can listen to their other stuff without the association with Kurt's suicide but not that one. I had already seen the "Heart Shaped Box" video (which was actually my introduction to Nirvana, before I heard "Nevermind") but the first time I heard "In Utero" was right after his suicide so it was impossible to not hear the thing as a sort of musical suicide note, especially the since it ends with "All Apologies". Definitely made the album even more powerful than it already would have been if he had lived.